A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving along the ground when she is 50 ft from the base of the pole?

4 ft/sec

Explanation:

Given:

16 ft = height of a street light on top of a pole

6 ft = height of a woman

4 ft/s = speed that the woman is walking away from the pole along a straight path

50 ft = distance of woman from the pole at the specific time they want to know the speed of the tip of the man's shadow.

solution:

A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. if we let t be the time in seconds and x be the distance from the pole to the woman in ft then we are given that dx/dt=4 ft/sec